Nonlinear Dynamo

M. I. Kopp; A. V. Tur; V. V. Yanovsky

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arXiv · 1612.08860

Nonlinear Dynamo

M. I. Kopp·A. V. Tur·V. V. Yanovsky

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Abstract

In this manuscript using the asymptotic method of multiscale nonlinear theory we construct a nonlinear theory of the appearance of large-scale structures in the stratified conductive medium with the presence of small-scale oscillations of the velocity field and magnetic fields. These small-scale stationary oscillations are maintained by small external sources at low Reynolds numbers. We obtain a nonlinear system of equations describing the evolution of large-scale structures of the velocity field and magnetic fields. The linear stage of evolution leads to the known instability. In this article we consider the stationary large-scale structures of a magnetic field arising at stabilization of linear instability.

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M. I. Kopp, A. V. Tur, V. V. Yanovsky. 2016-12-28. Nonlinear Dynamo. https://arxiv.org/abs/1612.08860

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